A note on two classes of hyperideals
Mahdi Anbarloei
TL;DR
This paper introduces two new classes of hyperideals, r-hyperideals and n-hyperideals, in multiplicative hyperrings, and explores their properties to expand the theoretical framework of hyperring structures.
Contribution
It defines and analyzes the properties of r-hyperideals and n-hyperideals, contributing novel concepts to the theory of hyperideals in hyperrings.
Findings
r-hyperideals and n-hyperideals are distinct classes with unique properties
Several properties of these hyperideals are characterized and discussed
The paper advances the understanding of hyperideal structures in multiplicative hyperrings
Abstract
In this paper, we define the concepts of r-hyperideal and n-hyperideal of the multiplicative hyperring R which are two new classes of hyperideals. Several properties of them are provided.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsEvaluation Methods in Various Fields · Fuzzy and Soft Set Theory